{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Density Estimation for a mixture of Gaussians"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adapted from http://scikit-learn.org/stable/auto_examples/mixture/plot_gmm_pdf.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the density estimation of a mixture of two Gaussians. Data is generated from two Gaussians with different centers and covariance matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Recompiling stale cache file /Users/cedric/.julia/compiled/v0.7/ScikitLearn/tbUuI.ji for ScikitLearn [3646fa90-6ef7-5e7e-9f22-8aca16db6324]\n",
      "└ @ Base loading.jl:1185\n",
      "┌ Warning: `using A.B` will only be allowed for modules, not single bindings. Use `using A: B` instead\n",
      "│   caller = ip:0x0\n",
      "└ @ Core :-1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <class 'sklearn.mixture.gaussian_mixture.GaussianMixture'>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using PyPlot, PyCall, Statistics, Random\n",
    "using ScikitLearn\n",
    "using ScikitLearn.Utils: meshgrid\n",
    "\n",
    "@pyimport matplotlib.colors as mpl_colors\n",
    "\n",
    "@sk_import mixture: GaussianMixture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_samples = 300\n",
    "\n",
    "# generate random sample, two components\n",
    "Random.seed!(42)\n",
    "\n",
    "# generate spherical data centered on (20, 20)\n",
    "shifted_gaussian = randn(n_samples, 2) .+ [20, 20]'\n",
    "\n",
    "# generate zero centered stretched Gaussian data\n",
    "C = [0. -0.7\n",
    "     3.5 .7]\n",
    "stretched_gaussian = randn(n_samples, 2) * C\n",
    "\n",
    "# concatenate the two datasets into the final training set\n",
    "X_train = vcat(shifted_gaussian, stretched_gaussian)\n",
    "\n",
    "# fit a Gaussian Mixture Model with two components\n",
    "clf = GaussianMixture(n_components=2, covariance_type=\"full\")\n",
    "fit!(clf, X_train)\n",
    "\n",
    "# display predicted scores by the model as a contour plot\n",
    "x = range(-20.0, stop=30.0, length=50)\n",
    "y = range(-20.0, stop=40.0, length=50)\n",
    "X, Y = meshgrid(x, y)\n",
    "XX = hcat(X[:], Y[:])\n",
    "Z = -score_samples(clf, XX)\n",
    "Z = reshape(Z, size(X))\n",
    "\n",
    "CS = contour(X, Y, Z, norm=mpl_colors.LogNorm(vmin=1.0, vmax=1000.0),\n",
    "             levels=10 .^ range(0, stop=3, length=10))\n",
    "CB = colorbar(CS, shrink=0.8, extend=\"both\")\n",
    "scatter(X_train[:, 1], X_train[:, 2], .8)\n",
    "\n",
    "title(\"Negative log-likelihood predicted by a GMM\")\n",
    "axis(\"tight\");"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.7.0",
   "language": "julia",
   "name": "julia-0.7"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
